Solve:

I tried writing it like this:

That leaves us with: , but that didn't help much.

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- June 20th 2010, 12:29 AMMondreusComplex equation
Solve:

I tried writing it like this:

That leaves us with: , but that didn't help much. - June 20th 2010, 01:15 AMDefunkt
use the identity

- June 20th 2010, 01:21 AMMondreus
I've already used it, and it leads me to the last equation.

- June 20th 2010, 01:58 AMProve It
- June 20th 2010, 03:07 AMMondreus
The answer is and , but I can't there from what you posted.

- June 20th 2010, 07:34 PMProve It
- June 20th 2010, 10:22 PMMondreus
That seems to be more solutions than what the textbook says though. This is how I "solved" it, but I'm not sure everything I've done is correct, and I seem to be missing some solutions. I'm especially confused about taking the square root of a complex number, and when you can factor out complex numbers from square roots.

I know that this isn't true in general if z and w are complex numbers: . It's often useful to factor out from square roots though, so how do you know when you can do it?